Correct option is: (3) A - III, B - II, C - I, D - IV
(A) \([Ni(CO)_4], \ Ni^0 : [Ar]3d^8 \ 4s^2
\)
Valence orbitals of \(Ni^0\) in pre-hybridisation state:

Tetrahedral , Diamagnetic , \(\mu = 0 \ B.M.\)
(B) \([NiCl_4]^{2-} , Ni^{2+} : [Ar]3d^84s^0\)
Valence orbitals of \(Ni^{+2}\) in pre-hybridisation state:

Square planar, Diamagnetic , \(\mu = 0 \ B.M.\)
(C) \([NiCl_4]^{2-}, Ni^{+2}:[Ar]3d^84s^0\)
Valence orbitals of \(Ni^{+2}\) in ground state:

Tetrahedral, paramagnetic , \(\mu = \sqrt{8} = 2.8 \ B.M.\)
(D) \([MnBr_4]^{2-}, Mn^{+2} : [Ar]3d^5\)
Valence orbitals of \(Mn^{+2}\) in ground state:

Tetrahedral, paramagnetic , \(\mu = \sqrt{35}= 5.9 \ B.M.\)